Many-body Dynamic Structure Factors with Phase Space methods*

Recently there has been much interest in describing the behavior of strongly-interacting quantum systems, especially equilibrium relaxation and hydrodynamic response. Intuitively, such behavior is classical, and should have an effective description with polynomial complexity as opposed to the exponential complexity of full quantum dynamics. This talk will detail work on one such semi-classical description, the Cluster Truncated Wigner Approximation, which approximates dynamics in a high-dimensional classical phase space. Via sampling in this phase space, the method precisely reproduces both short-time far-from-equilibrium quantum dynamics and long-time thermal dynamics. In particular, we will show how using this method one can accurately compute the spin diffusion constant with the dynamic structure factor.